true
false
Sometimes
be equidistant from the center of the circle. APEX!
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
Only if they belong to congruent circles.
Yes, intersecting chords do form a pair of congruent vertical angles. When two chords intersect, they create two pairs of opposite angles, known as vertical angles. According to the properties of vertical angles, these angles are always congruent to each other. Therefore, the angles formed by intersecting chords are equal in measure.
apex= True
Yes, intersecting chords in a circle create a pair of vertical angles, which are always congruent. However, these angles are not supplementary; supplementary angles are those that sum to 180 degrees. Vertical angles formed by intersecting chords are equal to each other, meaning they are not supplementary unless they each measure 90 degrees, which would make them right angles.
Yes, intersecting chords do form a pair of supplementary vertical angles. When two chords intersect, the angles opposite each other at the intersection point are equal (vertical angles), and their sum is 180 degrees, making them supplementary. Therefore, the vertical angles created by intersecting chords are always supplementary to each other.
True. When two lines intersect, they form vertical angles, and the chords created by these intersecting lines can be considered supplementary if the angles formed by the chords at the intersection add up to 180 degrees. Thus, intersecting chords can indeed correspond to supplementary vertical angles.
True. When two chords intersect, they form vertical angles, and if those angles are supplementary (add up to 180 degrees), the intersecting chords will create pairs of angles that also relate to the properties of those angles. Specifically, the angles formed by the intersecting chords can be analyzed using the relationship between the angles and the arcs they subtend in a circle.
false
Not unless the chords are both diameters.
Yes, congruent central angles in a circle have congruent chords. This is because the length of a chord is determined by the angle subtended at the center of the circle; when two central angles are equal, the arcs they subtend are also equal, leading to chords of the same length. Thus, congruent central angles correspond to congruent chords.
If two chords in a circle are congruent, then they are equidistant from the center of the circle. This means that the perpendicular distance from the center to each chord is the same. Additionally, congruent chords subtend equal angles at the center of the circle.
Not true. If the associated central angles are equal, the two chords would be equal.
Sometimes